Continuous integrable systems with multi-Poisson brackets

DOI10.1063/1.529629zbMath0760.58022OpenAlexW2028834784MaRDI QIDQ4027880

Susumu Okubo

Publication date: 9 March 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529629

zbMATH Keywords

continuous integrable systemsmulti-Poisson brackets

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (1)

Existence of gauge field in any partially integrable systems

Cites Work

• The inverse problem in the calculus of variations and the geometry of the tangent bundle
• Analytic conservation laws
• An alternate characterization of integrability
• A simple Lagrangian for integrable systems
• Kac–Moody and new infinite-dimensional Lie algebras
• Integrability condition and finite-periodic Toda lattice

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